What are the solutions to the equation (x-1)(x^2-11x+30)=0 ?

The solutions to the equation (x-1)(x^2-11x+30)=0 are x=1,x=5,x=6

Find the zeros of (x-1)(x^2-11x+30)=0

The zeros of (x-1)(x^2-11x+30)=0 are x=1,x=5,x=6

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(x - 1) (x^{2} - 11 x + 30) = 0

x = 1, x = 5, x = 6

Solution steps

(x - 1) (x^{2} - 11 x + 30) = 0

Factor

(x - 1) (x^{2} - 11 x + 30) : (x - 1) (x - 5) (x - 6)

(x - 1) (x - 5) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 5 = 0 or x - 6 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 5 = 0 : x = 5

Solve

x - 6 = 0 : x = 6

The solutions are

x = 1, x = 5, x = 6

x^{4} - 3 x^{2} + 4 = 0

2 x^{4} - 2 x^{2} - 12 = 0

2 x (3 x^{2} + 1) = 0

x^{3} - 2 x^{2} + 3 x - 1 = 0

28 x^{3} + 88 x^{2} - 37 x - 7 = 0

What are the solutions to the equation (x-1)(x^2-11x+30)=0 ?
The solutions to the equation (x-1)(x^2-11x+30)=0 are x=1,x=5,x=6
Find the zeros of (x-1)(x^2-11x+30)=0
The zeros of (x-1)(x^2-11x+30)=0 are x=1,x=5,x=6